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Finding the Fourth Proportional to 6,894.50, 9,514.90 and 3,910.58

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Solution

The fourth proportional to 6,894.50, 9,514.90 and 3,910.58 is: 5,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.50 : 9,514.90 = 3,910.58 : x
  2. Step 2: Convert to fraction form
    6,894.50/9,514.90 = 3,910.58/x
  3. Step 3: Cross multiply
    6,894.50x = 9,514.90 × 3,910.58
  4. Step 4: Simplify right side
    6,894.50x = 37,208,777.64
  5. Step 5: Solve for x
    x = 37,208,777.64/6,894.50
  6. Step 6: Final answer
    x = 5,396.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.